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Simplifying 3v + 5(v + 3) = 31 Reorder the terms: 3v + 5(3 + v) = 31 3v + (3 * 5 + v * 5) = 31 3v + (15 + 5v) = 31 Reorder the terms: 15 + 3v + 5v = 31 Combine like terms: 3v + 5v = 8v 15 + 8v = 31 Solving 15 + 8v = 31 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8v = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 8v = 31 + -15 8v = 31 + -15 Combine like terms: 31 + -15 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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